Write your name here
Surname Other names
Pearson Edexcel Centre Number Candidate Number
Level 3 GCE
Mathematics
Advanced
Paper 1: Pure Mathematics 1
Wednesday 6 June 2018 – Morning Paper Reference
Time: 2 hours 9MA0/01
You must have: Total Marks
Mathematical Formulae and Statistical Tables, calculator
Candidates may use any calculator allowed by the regulations of the
Joint Council for Qualifications. Calculators must not have the facility
for symbolic algebra manipulation, differentiation and integration, or
have retrievable mathematical formulae stored in them.
Instructions
•• Use black ink or ball-point pen.
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• Fill in the boxes at the top of this page with your name,
centre number and candidate number.
• are
Answer all questions and ensure that your answers to parts of questions
clearly labelled.
• – there may
Answer the questions in the spaces provided
be more space than you need.
• You should show sufficient working to make your methods clear. Answers
without working may not gain full credit.
• Answers should be given to three significant figures unless otherwise stated.
Information
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
are 14 questions in this question paper. The total mark for this paper is 100.
• – use this asfora guide
The marks each question are shown in brackets
as to how much time to spend on each question.
Advice
•• Read each question carefully before you start to answer it.
Try to answer every question.
• Check your answers if you have time at the end
Turn over
*P58348A0144*
P58348A
©2018 Pearson Education Ltd.
1/1/1/1/1/
, Answer ALL questions. Write your answers in the spaces provided.
1. Given that θ is small and is measured in radians, use the small angle approximations to find an
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DO NOT WRITE IN THIS AREA
approximate value of
1 − cos 4θ
2θ sin 3θ
(3)
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2
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, Question 1 continued
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(Total for Question 1 is 3 marks)
3
*P58348A0344* Turn over
, 2. A curve C has equation
y = x2 − 2x − 24 x, x > 0
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dy
(a) Find (i)
dx
d2 y
(ii)
dx 2
(3)
(b) Verify that C has a stationary point when x = 4
(2)
(c) Determine the nature of this stationary point, giving a reason for your answer.
(2)
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4
*P58348A0444*
Surname Other names
Pearson Edexcel Centre Number Candidate Number
Level 3 GCE
Mathematics
Advanced
Paper 1: Pure Mathematics 1
Wednesday 6 June 2018 – Morning Paper Reference
Time: 2 hours 9MA0/01
You must have: Total Marks
Mathematical Formulae and Statistical Tables, calculator
Candidates may use any calculator allowed by the regulations of the
Joint Council for Qualifications. Calculators must not have the facility
for symbolic algebra manipulation, differentiation and integration, or
have retrievable mathematical formulae stored in them.
Instructions
•• Use black ink or ball-point pen.
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• Fill in the boxes at the top of this page with your name,
centre number and candidate number.
• are
Answer all questions and ensure that your answers to parts of questions
clearly labelled.
• – there may
Answer the questions in the spaces provided
be more space than you need.
• You should show sufficient working to make your methods clear. Answers
without working may not gain full credit.
• Answers should be given to three significant figures unless otherwise stated.
Information
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
are 14 questions in this question paper. The total mark for this paper is 100.
• – use this asfora guide
The marks each question are shown in brackets
as to how much time to spend on each question.
Advice
•• Read each question carefully before you start to answer it.
Try to answer every question.
• Check your answers if you have time at the end
Turn over
*P58348A0144*
P58348A
©2018 Pearson Education Ltd.
1/1/1/1/1/
, Answer ALL questions. Write your answers in the spaces provided.
1. Given that θ is small and is measured in radians, use the small angle approximations to find an
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
approximate value of
1 − cos 4θ
2θ sin 3θ
(3)
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DO NOT WRITE IN THIS AREA
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2
*P58348A0244*
, Question 1 continued
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(Total for Question 1 is 3 marks)
3
*P58348A0344* Turn over
, 2. A curve C has equation
y = x2 − 2x − 24 x, x > 0
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dy
(a) Find (i)
dx
d2 y
(ii)
dx 2
(3)
(b) Verify that C has a stationary point when x = 4
(2)
(c) Determine the nature of this stationary point, giving a reason for your answer.
(2)
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4
*P58348A0444*
